A Method of Manufacturing Solutions for Verification of Lagrangian Radiation Hydrodynamic Codes

YU Yun-long; LIN Zhong; WANG Rui-li; LIU Quan; CHEN Xing-ding

doi:10.3879/j.issn.1000-0887.2015.01.010

Volume 36 Issue 1

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YU Yun-long, LIN Zhong, WANG Rui-li, LIU Quan, CHEN Xing-ding. A Method of Manufacturing Solutions for Verification of Lagrangian Radiation Hydrodynamic Codes[J]. Applied Mathematics and Mechanics, 2015, 36(1): 110-118. doi: 10.3879/j.issn.1000-0887.2015.01.010

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A Method of Manufacturing Solutions for Verification of Lagrangian Radiation Hydrodynamic Codes

doi: 10.3879/j.issn.1000-0887.2015.01.010

¹Institute of Applied Physics and Computational Mathematics, Beijing 100094, P.R.China;²School of Science, Beijing Technology and Business University, Beijing 100037, P.R.China

Funds: The National Natural Science Foundation of China（11372051；11201035；11401015）

Received Date: 2014-03-27
Rev Recd Date: 2014-12-04
Publish Date: 2015-01-15

Abstract

Abstract

According to the derivative relation of physic variables between the Lagrangian space and Eulerian space, a new method of manufacturing solutions was proposed for the verification of Lagrangian radiation hydrodynamic codes. With this method, the manufactured solutions to the 1D Lagrangian radiation hydrodynamic equations were given to be smooth and differentiable in the whole computional domain, without source term in the mass equation. Then the manufactured solutions were applied to verify the correctness of the 2D Lagrangian radiation hydrodynamic codes. The numerical results show the effectiveness of the presented method.
- radiation hydrodynamic equation,
- manufactured solution,
- Lagrangian coordinate,
- verification of codes

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References(15)

References

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